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Finding the Fourth Proportional to 644.86, 968.10 and 438.58

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Solution

The fourth proportional to 644.86, 968.10 and 438.58 is: 658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.86 : 968.10 = 438.58 : x
  2. Step 2: Convert to fraction form
    644.86/968.10 = 438.58/x
  3. Step 3: Cross multiply
    644.86x = 968.10 × 438.58
  4. Step 4: Simplify right side
    644.86x = 424,589.30
  5. Step 5: Solve for x
    x = 424,589.30/644.86
  6. Step 6: Final answer
    x = 658.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.